Title of article :
On the nil-clean matrix over a UFD
Author/Authors :
Hadjirezaei, Somayeh Department of Mathematics - Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran , Karimzadeh, Somayeh Department of Mathematics - Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran
Abstract :
In this paper we characterize all 2×2 idempotent and nilpotent matrices over an integral domain and then we characterize all 2×2 strongly nil-clean matrices over a PID. Also, we determine when a 2×2 matrix over a UFD is nil-clean.
Keywords :
Strongly nil-clean matrix , Nil-clean matrix , Nilpotent matrix , Idempotent matrix , Rank of a matrix
Journal title :
Astroparticle Physics
